What two numbers have a GCF of 1968?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1968.

There is actually an infinite number of answers to this question. First, note that both the numbers we are looking for must be multiples of 1968. Below is the beginning list of multiples of 1968 (1 through 7) in numerical order.

1. 1968
2. 3936
3. 5904
4. 7872
5. 9840
6. 11808
7. 13776
etc...

Two numbers that have a GCF of 1968 can be 1968 and any other number on the list above. Thus, two numbers that have a GCF of 1968 are:

1968 & 3936
1968 & 5904
1968 & 7872
etc...

That is not all! Any combination of any multiple of 1968 and "odd" multiples of 1968 will also have GCF of 1968. We numbered the multiples above so it would be easy to identify the "odd" multiples (number 1, 3, 5, 7, etc). Thus, here are some more examples of two numbers that also have a GCF of 1968.

3936 & 5904
3936 & 9840
7872 & 9840
7872 & 13776
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1968. The lists we created can go on forever.

Two numbers have a GCF of Calculator
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Teacher Tip: If you are a teacher, you could ask these questions of your students: "I am thinking of two numbers and the GCF is 1968, what are the numbers?" or "What are two numbers whose GCF is 1968?"

What two numbers have a GCF of 1969?
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